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Finding the Third Proportional to 295.13 and 376.78

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Solution

The third proportional to 295.13 and 376.78 is: 481.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.13 : 376.78 = 376.78 : x
  2. Step 2: Convert to fraction form
    295.13/376.78 = 376.78/x
  3. Step 3: Cross multiply
    295.13x = 376.78 × 376.78
  4. Step 4: Simplify right side
    295.13x = 141,964.11
  5. Step 5: Solve for x
    x = 141,964.11/295.13
  6. Step 6: Final answer
    x = 481.03

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.